Internal Stabilizability of Some Diffusive Models |
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Authors: | Bedr'Eddine AinsebaMichel Langlais Sebastian Ani?a |
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Affiliation: | a Mathématiques Appliquées de Bordeaux, UMR CNRS 5466, case 26, Université Victor Segalen Bordeaux 2, 33076, Bordeaux Cedex, Franceb Faculty of Mathematics, University “Al.I. Cuza” Ia?i, 6600, Romaniaf1sanita@uaic.rof1 |
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Abstract: | We consider a single species population dynamics model with age dependence, spatial structure, and a nonlocal birth process arising as a boundary condition. We prove that under a suitable internal feedback control, one can improve the stabilizability results given in Kubo and Langlais [J. Math. Biol.29 (1991), 363-378]. This result is optimal.Our proof relies on an identical stabilizability result of independent interest for the heat equation, that we state and prove in Section 3. |
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